An equilateral triangle and an isosceles triangle would both have lines of symmetry that would split it into two triangles.
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Equilateral.
It depends on what kind of triangle. A scalene triangle (no equal sides or angles) would not have any lines of symmetry. An isosceles triangle would have 1 line of symmetry, and an equilateral triangle would have 3 lines of symmetry.
A rhombus can be split into 2 isosceles triangles or divided into 4 right angle triangles
Isosceles triangles
Any right-angled triangle